Item description for Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem (Progress in Mathematics) by Robert Roussarie...
In a coherent, exhaustive and progressive way, this book presents the tools for studying local bifurcations of limit cycles in families of planar vector fields. A systematic introduction is given to such methods as division of an analytic family of functions in its ideal of coefficients, and asymptotic expansion of non-differentiable return maps and desingularisation. The exposition moves from classical analytic geometric methods applied to regular limit periodic sets to more recent tools for singular limit sets. The methods can be applied to theoretical problems such as Hilbert's 16th problem, but also for the purpose of establishing bifurcation diagrams of specific families as well as explicit computations.
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Est. Packaging Dimensions: Length: 9.3" Width: 6" Height: 0.8" Weight: 1 lbs.
Release Date May 19, 1998
Publisher Birkhäuser Basel
ISBN 3764359005 ISBN13 9783764359003
Availability 135 units. Availability accurate as of Jan 21, 2017 08:24.
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